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Finding the Third Proportional to 147,345,660 and 320,831,883

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Solution

The third proportional to 147,345,660 and 320,831,883 is: 698,582,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,345,660 : 320,831,883 = 320,831,883 : x
  2. Step 2: Convert to fraction form
    147,345,660/320,831,883 = 320,831,883/x
  3. Step 3: Cross multiply
    147,345,660x = 320,831,883 × 320,831,883
  4. Step 4: Simplify right side
    147,345,660x = 102,933,097,149,325,696
  5. Step 5: Solve for x
    x = 102,933,097,149,325,696/147,345,660
  6. Step 6: Final answer
    x = 698,582,483.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.